Statistical lacunary summability and a Korovkin type approximation theorem

Springer Science and Business Media LLC - Tập 57 Số 2 - Trang 373-381 - 2011
M. Mursaleen1, Abdullah Alotaibi2
1Department of Mathematics, Aligarh Muslim University, Aligarh, India
2Department of Mathematics, King Abdul Aziz University, Jeddah, Saudi Arabia

Tóm tắt

Từ khóa


Tài liệu tham khảo

Alotaibi A.: Some approximation theorems via statistical summability (C, 1). Aligarh Bull. Math. 26(2), 77–81 (2007)

Christopher J.: The asymptotic density of some k-dimensional sets. Am. Math. Mon. 63, 399–401 (1956)

Edely O.H.H., Mursaleen M.: On statistical A-summability. Math. Comput. Model. 49(3–4), 672–680 (2009)

Fast H.: Sur la convergence statistique. Colloq. Math. 2, 241–244 (1951)

Freedman A.R., Sember J.J., Raphael M.: Some Cesàro type summability spaces. Proc. Lond. Math. Soc. 37, 508–520 (1978)

Fridy J.A., Orhan C.: Lacunary statistical convergence. Pac. J. Math. 160, 43–51 (1993)

Gadjiev A.D., Orhan C.: Some approximation theorems via statistical convergence. Rocky Mt. J. Math. 32, 129–138 (2002)

Korovkin P.P.: Linear Operators and Approximation Theory. Hindustan Publ. Co., Delhi (1960)

Mursaleen M., Osama H., Edely H.: On the invariant mean and statistical convergence. Appl. Math. Lett. 22, 1700–1704 (2009)

Mursaleen M., Mohiuddine S.A.: On lacunary statistical convergence with respect to the intuitionistic fuzzy normed space. J. Comput. Appl. Math. 233, 142–149 (2009)

Patterson R., Savas E.: Korovkin and Weierstass approximation via lacunary statistical sequences. J. Math. Stat. 1(2), 165–167 (2005)

Šalát T.: On statistically convergent sequences of real numbers. Math. Slovaca 30, 139–150 (1980)